MTH2032 Differential equations with modelling

When you finish this unit, you should be able to:

1. 1

   Describe various classes of ordinary and partial differential equations and the physical systems to which they apply;

2. 2

   Identify the differential equations that describe various physical processes including those for simple harmonic motion, diffusion, wave propagation and mass transport;

3. 3

   Describe the essential mathematical properties of these differential equations;

4. 4

   Construct solutions of differential equations using analytic and computational methods;

5. 5

   Appreciate the role that differential equations and their solutions play in the scientific process, in particular their use as a tool to model physical systems and allow predictions to be made and tested.